The mean height of women in a country (age 20-29) is 63.9 inches. A random sample of 50 women in this age group is selected.

The mean height of women in a country (age 20-29) is 63.9 inches. A random sample of 50 women in this age group is selected. What is the probability that he mean height for the sample is greater than 65 inches? Assume a= 2.67. (i put an "a" because i could not figure out how to put the symbol that was used in this question for my homework but it looks like a lower case "a" that was turned on its left side)
The probability that the mean height for the sample is greater than 65 inches is ????
(round to four decimal places as needed)

P (X > 65)Normal Distribution, µ = 63.9, σ = 2.67, n = 50x − µxx−µ√we convert this to standard normal using z ==σxσ/ n65 − (63.9)√z=≈ 2.913174 ≈ 2.912.67/ 50P...